What is the general solution for cos^2(2x)=(1+cos(2x))/2 ?

The general solution for cos^2(2x)=(1+cos(2x))/2 is x=pin,x= pi/3+pin,x=(2pi)/3+pin

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cos^2(2x)=(1+cos(2x))/2

cos^{2} (2 x) = \frac{1 + cos ( 2 x )}{2}

x = πn, x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

Solution steps

cos^{2} (2 x) = \frac{1 + cos ( 2 x )}{2}

Solve by substitution

cos (2 x) = 1, cos (2 x) = - \frac{1}{2}

cos (2 x) = 1 : x = πn

cos (2 x) = - \frac{1}{2} : x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

Combine all the solutions

x = πn, x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

csc^{2} (2 x) - 4 = 0

sin (x) = \frac{3.1}{4.5}

4 (cot (x) - 3) = cot (x) - 3

5 sec (x) = 2 sec (x) + 7

sin (x) = (\frac{5}{9})

What is the general solution for cos^2(2x)=(1+cos(2x))/2 ?
The general solution for cos^2(2x)=(1+cos(2x))/2 is x=pin,x= pi/3+pin,x=(2pi)/3+pin